Cubical Homotopy Theory

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Cubical Homotopy Theory by Brian A. Munson, Ismar Volić, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Brian A. Munson, Ismar Volić ISBN: 9781316348932
Publisher: Cambridge University Press Publication: October 6, 2015
Imprint: Cambridge University Press Language: English
Author: Brian A. Munson, Ismar Volić
ISBN: 9781316348932
Publisher: Cambridge University Press
Publication: October 6, 2015
Imprint: Cambridge University Press
Language: English

Graduate students and researchers alike will benefit from this treatment of classical and modern topics in homotopy theory of topological spaces with an emphasis on cubical diagrams. The book contains 300 examples and provides detailed explanations of many fundamental results. Part I focuses on foundational material on homotopy theory, viewed through the lens of cubical diagrams: fibrations and cofibrations, homotopy pullbacks and pushouts, and the Blakers–Massey Theorem. Part II includes a brief example-driven introduction to categories, limits and colimits, an accessible account of homotopy limits and colimits of diagrams of spaces, and a treatment of cosimplicial spaces. The book finishes with applications to some exciting new topics that use cubical diagrams: an overview of two versions of calculus of functors and an account of recent developments in the study of the topology of spaces of knots.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Graduate students and researchers alike will benefit from this treatment of classical and modern topics in homotopy theory of topological spaces with an emphasis on cubical diagrams. The book contains 300 examples and provides detailed explanations of many fundamental results. Part I focuses on foundational material on homotopy theory, viewed through the lens of cubical diagrams: fibrations and cofibrations, homotopy pullbacks and pushouts, and the Blakers–Massey Theorem. Part II includes a brief example-driven introduction to categories, limits and colimits, an accessible account of homotopy limits and colimits of diagrams of spaces, and a treatment of cosimplicial spaces. The book finishes with applications to some exciting new topics that use cubical diagrams: an overview of two versions of calculus of functors and an account of recent developments in the study of the topology of spaces of knots.

More books from Cambridge University Press

Cover of the book Narrative and Metaphor in the Law by Brian A. Munson, Ismar Volić
Cover of the book The Cambridge Companion to Liberalism by Brian A. Munson, Ismar Volić
Cover of the book Russian Writers and the Fin de Siècle by Brian A. Munson, Ismar Volić
Cover of the book Evolutionary Biology and Conservation of Titis, Sakis and Uacaris by Brian A. Munson, Ismar Volić
Cover of the book Kierkegaard's 'Concluding Unscientific Postscript' by Brian A. Munson, Ismar Volić
Cover of the book The Cambridge Companion to Michael Tippett by Brian A. Munson, Ismar Volić
Cover of the book The Economic Assessment of Mergers under European Competition Law by Brian A. Munson, Ismar Volić
Cover of the book Martial Law and English Laws, c.1500–c.1700 by Brian A. Munson, Ismar Volić
Cover of the book The Cambridge Companion to Textual Scholarship by Brian A. Munson, Ismar Volić
Cover of the book The Rise of Organised Brutality by Brian A. Munson, Ismar Volić
Cover of the book Duels and Duets by Brian A. Munson, Ismar Volić
Cover of the book Negative Binomial Regression by Brian A. Munson, Ismar Volić
Cover of the book Psychology Research Methods by Brian A. Munson, Ismar Volić
Cover of the book The Self-Potential Method by Brian A. Munson, Ismar Volić
Cover of the book The Politics of Justice in European Private Law by Brian A. Munson, Ismar Volić
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy